GCF of 327/58, 242/549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 327/58, 242/549 i.e 1/31842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 327/58, 242/549.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 327/58,242/549?
Given fractions are 327/58,242/549
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 327/58,242/549, numerators are 327,242
Denominators are 58,549
The GCF of 327,242 is 1 .
LCM of 58,549 is 31842.
The greatest common factor of 327/58,242/549 = [GCF of 327,242]/[LCM of 58,549]= 1/31842
Therefore, the GCF of 327/58,242/549 is 1/31842.
To find the highest common factor of 327,242, we have to find the factors of both numbers and list the highest common factor.
The factors of 327 are 1, 3, 109, 327
The factors of 242 are 1, 2, 11, 22, 121, 242
The HCF of 327,242 is 1.
Lets's calculate GCF of 327,242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 327,242 By Matching Biggest Common Factor Method
Now, list down the factors of 327
:1,3,109,327
Now, list down the factors of 242
:1,2,11,22,121,242
Greatest Common Factor
We found the factors 327,242 . The biggest common factor number is the GCF number.
So the greatest common factor 327,242 is 1.
Lets's calculate LCM of 58,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 31842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31842
Therefore, the GCF of Fractions 327/58,242/549 is 1/31842
Least Common Multiple of 58,549 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 58,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,549) x common factors =1 x 1 = 1
LCM(58,549) = ( 58 × 549 ) / 1
LCM(58,549) = 31842 / 1
LCM(58,549) = 31842
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FAQs on GCF of Fractions of 327/58, 242/549
1. What is the HCF of 327,242?
The HCF of 327,242 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 327/58, 242/549?
Answer: GCF of Numerators as per given numbers 327/58, 242/549 is
GCF of Numerators i.e. for 327,242 is 1
LCM of denominators i.e. for 58,549 is 31842.
Thus, GCF of Fractions is 1/31842.Finally, GCF of Fractions for 327/58, 242/549 is 1/31842.